Question

Solve this equation by factoring
6n^2-18n-18=6

Answer 1

$6n^2-18n-18=6 \\ 6n^2-18n-24=0\\ n^2-3n-4=0\\ n^2+n-4n-4=0\\ n(n+1)-4(n+1)=0\\ (n-4)(n+1)=0\\ n=4 \vee n=-1$

Answer 2

$6n^{2}-18n-18=6 \\ 6n^{2}-18n-24=0 \\ 6(n^{2}-3n-4)=0 \\ 6(n-4)(n+1)=0 \\ \boxed{n=4\ and\ -1}$